IJPAM: Volume 116, No. 3 (2017)

Title

ON $\omega$-MIXING FOR TOPOLOGICAL DYNAMICAL SYSTEMS

Authors

N. Rajesh$^1$, S. Shanthi$^2$
$^1$Department of Mathematics
Rajah Serfoji Govt. College
Thanjavur, 613005, Tamilnadu, INDIA
$^2$Department of Mathematics
Arignar Anna Govt. Arts College
Namakkal, 637 001, Tamilnadu, INDIA

Abstract

In this paper, we study the properties of $\omega$-mixing for discrete dynamical systems defined on $\omega$-open topological spaces.

History

Received: 2017-05-21
Revised: 2017-07-16
Published: October 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 54C10, 54C08, 54C05
Key Words and Phrases: $\omega$-open sets, topological dynamical system

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Bibliography

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2
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G.D. Birkhoff, Collected Mathematical Papers, Vols. 1, 2, 3, New York, 1950.

4
S. Kolyada and L. Snoha, A survey some aspects of topological transitivity,2005.

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N. Levine, Semiopen sets and semicontinuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.

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P. Sundaram and M. Sheik John, Weakly closed sets and weakly continuous maps in topological spaces, Proc. 82$^{nd}$ session of the Indian Science Congress, Calcutta, 1995 (P-49).

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How to Cite?

DOI: 10.12732/ijpam.v116i3.14 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 3
Pages: 689 - 693


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